433 Eros Shape Parameters from the NEAR-Shoemaker Laser Rangefinder*


* Zuber, M.T., D.E. Smith, A.F. Cheng, J.B. Garvin, O. Aharonson, T.D. Cole, P.J. Dunn, Y. Guo, F.G. Lemoine, G.A. Neumann, D.D. Rowlands, and M.H. Torrence, The Shape of 433 Eros from the NEAR Laser Rangefinder, Science, 289, 1788-1793, 2000.


NLR190 is a spherical harmonic model to degree and order 24 based on approximately 5 million Eros radii collected by the NLR through day 190, year 2000. Because of its deviation from sphericity, on Eros one degree varies from about 54 to 307 m.


433 Eros Geodetic Parameters from NLR190 Shape, Gravity and Dynamics Model

Parameter
Value
Uncertainty (+/-)
Shape**
Mean radius, C_0,0 (m)
7311
10
Mean equatorial radius (m)
9236
100
North polar radius (m)
5338
50
South polar radius (m)
5993
50
Maximum equatorial radius (m)
17452
50
Minimum equatorial radius (m)
3501
50
Volume (km^3)
2505
100
Topography**
Normalized spherical harmonic coefficients
C_1,0
-133
10
C_1,1
136
10
S_1,1
593
10
C_2,0
-1092
10
C_2,1
-42
10
S_2,1
51
10
C_2,2
2120
10
S_2,2
-891
10
Offset of center of figure from center of mass***
Dx
-28
20
Dy
-4
20
Dz
14
20
Direction of rotation axis**
Right ascension (deg)
11.38
0.01
Declination (deg)
17.18
0.01
Rotation**
dtheta/dt (deg/day)
1639.390
0.002
W_o
361.6
10.0
Gravity field**
Normalized spherical harmonic coefficients
C_2,0
-0.05210
0.00008
C_2,1
0.00000
0.00005
S_2,1
-0.00020
0.00005
C_2,2
0.04890
0.00714
S_2,2
0.13170
0.02220
C_3,0
-0.00180
0.00027
C_3,1
0.00600
0.00044
S_3,1
0.00080
0.00053
C_3,2
-0.00010
0.00062
S_3,2
-0.00690
0.00144
C_3,3
-0.03220
0.00463
S_3,3
0.00560
0.00383

**From joint inversion of Doppler tracking and altimetry.
***From numerical integration of shape model NLR190.


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Direct inquiries to: zuber@mit.edu